A charge of -8.5 µC is traveling at a speed of 9.0 106 m/s in a region of space where there is a magnetic field. The angle between the velocity of the charge and the field is 56°. A force of magnitude 5.9 10-3 N acts on the charge. What is the magnitude of the magnetic field?

The magnitude of the magnetic field is .

Explanation:

Given that,

Charge,

Speed of the charged particle,

The angle between the velocity of the charge and the field is 56°.

The magnitude of force,

We need to find the magnitude of the magnetic field. When a charged particle moves in the magnetic field, the magnetic force is experienced by it. The force is given by :

B is the magnetic field.

So, the magnitude of the magnetic field is . Hence, this is the required solution.

as we know our atmosphere or air have different levels. every level has other gasses, and every gas has another permeability. when the light comes from lower permeability to higher permeability, it changes its direction. so that means that when the light comes from the moon to the earth, it changes it's direction many more times. it basically means that the shape of the light part of the moon is changed on the earth.

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we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .